ELASTODYNAMIC RESPONSE OF AN ANISOTROPIC MEDIUM IN FREQUENCY DOMAIN
Print ISSN: 0972-7752 | Online ISSN: | Total Downloads : 142
DOI:
Author :
Anita Goel (Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India)
Surendra Kumar (Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India)
N. R. Garg (Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India)
Ritu Goel (Department of Mathematics Maharshi Dayanand University, Rohtak-124001, India)
Abstract
Two-dimensional elastodynamic displacements and stresses for a monoclinic solid have been obtained in frequency domain in relatively simple form. The eigenvalue method, following Fourier transform, has been used to obtain the response in the transformed domain. The analytic eigenvalue method for a monoclinic solid, presented in this paper, is straightforward and is convenient for numerical computation. The use of matrix notation avoids unwieldy mathematical expressions. A particular case of a normal line-load acting in the interior of an infinite orthotropic solid has been considered in detail. The corresponding deformation in frequency domain is obtained numerically. The variations of dimensionless displacements and stresses with the horizontal distance have been shown graphically.
Keywords and Phrases
Two-dimensional deformation, anisotropy, frequency domain, eigenvalue method.
A.M.S. subject classification
73, 35
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